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x^(1/5)
Solving integrals/ x^(1/5)

Integral of x^(1/5) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1         
  /         
 |          
 |  5 ___   
 |  \/ x  dx
 |          
/           
0
∫01x5 dx\int\limits_{0}^{1} \sqrt[5]{x}\, dx 
Integral(x^(1/5), (x, 0, 1))
Detail solution

  1. The integral of xnx^{n} is xn+1n+1\frac{x^{n + 1}}{n + 1} when n≠−1n \neq -1:

    ∫x5 dx=5x656\int \sqrt[5]{x}\, dx = \frac{5 x^{\frac{6}{5}}}{6}

  2. Add the constant of integration:

    5x656+constant\frac{5 x^{\frac{6}{5}}}{6}+ \mathrm{constant}

The answer is:

5x656+constant\frac{5 x^{\frac{6}{5}}}{6}+ \mathrm{constant}

The answer (Indefinite) [src] 
  /                     
 |                   6/5
 | 5 ___          5*x   
 | \/ x  dx = C + ------
 |                  6   
/
∫x5 dx=C+5x656\int \sqrt[5]{x}\, dx = C + \frac{5 x^{\frac{6}{5}}}{6}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9002
Plot the graph f(x)
The answer [src] 
5/6
56\frac{5}{6} 
=
= 
5/6
56\frac{5}{6} 
5/6
Numerical answer [src] 
0.833333333333333
0.833333333333333
The graph
Integral of x^(1/5) dx

    Use the examples entering the upper and lower limits of integration.

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